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Finding the Fourth Proportional to 402.08, 603.72 and 320.67

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Solution

The fourth proportional to 402.08, 603.72 and 320.67 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.08 : 603.72 = 320.67 : x
  2. Step 2: Convert to fraction form
    402.08/603.72 = 320.67/x
  3. Step 3: Cross multiply
    402.08x = 603.72 × 320.67
  4. Step 4: Simplify right side
    402.08x = 193,594.89
  5. Step 5: Solve for x
    x = 193,594.89/402.08
  6. Step 6: Final answer
    x = 481.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.